The surface area of a cube is 96 square feet. Find the volume of the cube.

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asked Feb 11, 2017 48.9k views

1 Answer

Warrick FitzGerald · Answer 1 · 2017-02-16T16:50:18+0000

cube has six identical walls

96ft² : 6 = 6 ft² - one wall surface

pattern on the surface of the cube
A = a²
a - the edge of the cube

A = a² ⇔ a=√A
a = √(16ft)² = 4ft
V = volume
V = a³
V = (4ft)³ = 64 ft³

The surface area of a cube is 96 square feet. Find the volume of the cube.

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